Computational acoustics in spherical geometry: Steps toward validating helioseismology

Shravan Hanasoge, R. M. Larsen, T. L. Duvall, M. L. DeRosa, N. E. Hurlburt, J. Schou, M. Roth, J. Christensen-Dalsgaard, S. K. Lele

Research output: Contribution to journalArticle

Abstract

Throughout the past decade, detailed helioseismic analyses of observations of solar surface oscillations have led to advances in our knowledge of the structure and dynamics of the solar interior. Such analyses involve the decomposition of time series of the observed surface oscillation pattern into its constituent wave modes, followed by inversion procedures that yield inferences of properties of the solar interior. While this inverse problem has been a major focus in recent years, the corresponding forward problem has received much less attention. We aim to rectify this situation by taking the first steps toward validating and determining the efficacy of the helioseismic measurement procedure. The goal of this effort is to design a means to perform differential studies of various effects such as flows and thermal perturbations on helioseismic observables such as resonant frequencies, travel-time shifts, etc. Here we describe our first efforts to simulate wave propagation within a spherical shell, which extends from 0.2 to about 1.0004 R (where R is the radius of the Sun) and which possesses a solar-like stratification. We consider a model containing no flows that will serve as a reference model for later studies. We discuss the computational procedure, some difficulties encountered in a simulation of this kind, and the means to overcome them. We also present techniques used to validate the simulation.

Original languageEnglish (US)
Pages (from-to)1268-1275
Number of pages8
JournalAstrophysical Journal
Volume648
Issue number2 I
DOIs
StatePublished - Sep 10 2006

Fingerprint

solar interior
helioseismology
acoustics
oscillation
geometry
oscillations
spherical shells
inverse problem
stratification
inference
travel time
wave propagation
travel
simulation
resonant frequencies
sun
perturbation
time series
shell
decomposition

Keywords

  • Hydrodynamics
  • Sun: helioseismology
  • Sun: interior
  • Sun: oscillations
  • Waves

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Hanasoge, S., Larsen, R. M., Duvall, T. L., DeRosa, M. L., Hurlburt, N. E., Schou, J., ... Lele, S. K. (2006). Computational acoustics in spherical geometry: Steps toward validating helioseismology. Astrophysical Journal, 648(2 I), 1268-1275. https://doi.org/10.1086/505927

Computational acoustics in spherical geometry : Steps toward validating helioseismology. / Hanasoge, Shravan; Larsen, R. M.; Duvall, T. L.; DeRosa, M. L.; Hurlburt, N. E.; Schou, J.; Roth, M.; Christensen-Dalsgaard, J.; Lele, S. K.

In: Astrophysical Journal, Vol. 648, No. 2 I, 10.09.2006, p. 1268-1275.

Research output: Contribution to journalArticle

Hanasoge, S, Larsen, RM, Duvall, TL, DeRosa, ML, Hurlburt, NE, Schou, J, Roth, M, Christensen-Dalsgaard, J & Lele, SK 2006, 'Computational acoustics in spherical geometry: Steps toward validating helioseismology', Astrophysical Journal, vol. 648, no. 2 I, pp. 1268-1275. https://doi.org/10.1086/505927
Hanasoge S, Larsen RM, Duvall TL, DeRosa ML, Hurlburt NE, Schou J et al. Computational acoustics in spherical geometry: Steps toward validating helioseismology. Astrophysical Journal. 2006 Sep 10;648(2 I):1268-1275. https://doi.org/10.1086/505927
Hanasoge, Shravan ; Larsen, R. M. ; Duvall, T. L. ; DeRosa, M. L. ; Hurlburt, N. E. ; Schou, J. ; Roth, M. ; Christensen-Dalsgaard, J. ; Lele, S. K. / Computational acoustics in spherical geometry : Steps toward validating helioseismology. In: Astrophysical Journal. 2006 ; Vol. 648, No. 2 I. pp. 1268-1275.
@article{a417a97b45cb4aa3bf36618810c6b2de,
title = "Computational acoustics in spherical geometry: Steps toward validating helioseismology",
abstract = "Throughout the past decade, detailed helioseismic analyses of observations of solar surface oscillations have led to advances in our knowledge of the structure and dynamics of the solar interior. Such analyses involve the decomposition of time series of the observed surface oscillation pattern into its constituent wave modes, followed by inversion procedures that yield inferences of properties of the solar interior. While this inverse problem has been a major focus in recent years, the corresponding forward problem has received much less attention. We aim to rectify this situation by taking the first steps toward validating and determining the efficacy of the helioseismic measurement procedure. The goal of this effort is to design a means to perform differential studies of various effects such as flows and thermal perturbations on helioseismic observables such as resonant frequencies, travel-time shifts, etc. Here we describe our first efforts to simulate wave propagation within a spherical shell, which extends from 0.2 to about 1.0004 R⊙ (where R⊙ is the radius of the Sun) and which possesses a solar-like stratification. We consider a model containing no flows that will serve as a reference model for later studies. We discuss the computational procedure, some difficulties encountered in a simulation of this kind, and the means to overcome them. We also present techniques used to validate the simulation.",
keywords = "Hydrodynamics, Sun: helioseismology, Sun: interior, Sun: oscillations, Waves",
author = "Shravan Hanasoge and Larsen, {R. M.} and Duvall, {T. L.} and DeRosa, {M. L.} and Hurlburt, {N. E.} and J. Schou and M. Roth and J. Christensen-Dalsgaard and Lele, {S. K.}",
year = "2006",
month = "9",
day = "10",
doi = "10.1086/505927",
language = "English (US)",
volume = "648",
pages = "1268--1275",
journal = "Astrophysical Journal",
issn = "0004-637X",
publisher = "IOP Publishing Ltd.",
number = "2 I",

}

TY - JOUR

T1 - Computational acoustics in spherical geometry

T2 - Steps toward validating helioseismology

AU - Hanasoge, Shravan

AU - Larsen, R. M.

AU - Duvall, T. L.

AU - DeRosa, M. L.

AU - Hurlburt, N. E.

AU - Schou, J.

AU - Roth, M.

AU - Christensen-Dalsgaard, J.

AU - Lele, S. K.

PY - 2006/9/10

Y1 - 2006/9/10

N2 - Throughout the past decade, detailed helioseismic analyses of observations of solar surface oscillations have led to advances in our knowledge of the structure and dynamics of the solar interior. Such analyses involve the decomposition of time series of the observed surface oscillation pattern into its constituent wave modes, followed by inversion procedures that yield inferences of properties of the solar interior. While this inverse problem has been a major focus in recent years, the corresponding forward problem has received much less attention. We aim to rectify this situation by taking the first steps toward validating and determining the efficacy of the helioseismic measurement procedure. The goal of this effort is to design a means to perform differential studies of various effects such as flows and thermal perturbations on helioseismic observables such as resonant frequencies, travel-time shifts, etc. Here we describe our first efforts to simulate wave propagation within a spherical shell, which extends from 0.2 to about 1.0004 R⊙ (where R⊙ is the radius of the Sun) and which possesses a solar-like stratification. We consider a model containing no flows that will serve as a reference model for later studies. We discuss the computational procedure, some difficulties encountered in a simulation of this kind, and the means to overcome them. We also present techniques used to validate the simulation.

AB - Throughout the past decade, detailed helioseismic analyses of observations of solar surface oscillations have led to advances in our knowledge of the structure and dynamics of the solar interior. Such analyses involve the decomposition of time series of the observed surface oscillation pattern into its constituent wave modes, followed by inversion procedures that yield inferences of properties of the solar interior. While this inverse problem has been a major focus in recent years, the corresponding forward problem has received much less attention. We aim to rectify this situation by taking the first steps toward validating and determining the efficacy of the helioseismic measurement procedure. The goal of this effort is to design a means to perform differential studies of various effects such as flows and thermal perturbations on helioseismic observables such as resonant frequencies, travel-time shifts, etc. Here we describe our first efforts to simulate wave propagation within a spherical shell, which extends from 0.2 to about 1.0004 R⊙ (where R⊙ is the radius of the Sun) and which possesses a solar-like stratification. We consider a model containing no flows that will serve as a reference model for later studies. We discuss the computational procedure, some difficulties encountered in a simulation of this kind, and the means to overcome them. We also present techniques used to validate the simulation.

KW - Hydrodynamics

KW - Sun: helioseismology

KW - Sun: interior

KW - Sun: oscillations

KW - Waves

UR - http://www.scopus.com/inward/record.url?scp=33750545589&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750545589&partnerID=8YFLogxK

U2 - 10.1086/505927

DO - 10.1086/505927

M3 - Article

AN - SCOPUS:33750545589

VL - 648

SP - 1268

EP - 1275

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 2 I

ER -